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    [技术]Arizona眼睛模型 [复制链接]

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    只看楼主 倒序阅读 楼主  发表于: 2021-10-22
    简介 8{^GC(W{]  
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    人眼光学模型可用来设计眼科用设备,光学系统注定了要与人眼一起使用。本文演示了这样一个模型:Arizona眼睛模型,在Jim Schwiegerling教授的书中有详细描述:《Field Guide to Visual and Ophthalmic Optics》。AZ眼睛模型达到了基于平均临床数据所决定的轴上和轴外像差等级。FRED文件包含了此眼睛模型及几个用来分析它的光源,并包括一个基于想要的屈光度来调整模型的内嵌脚本。 x-k /rZ  
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    模型 \A"a>e  
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    模型的定义如表1种所示,由半径、圆锥常数、折射率、阿贝数、到下一面的距离等一系列表面组成。一些参数由屈光度(A)来决定。 p+1B6j  
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    Table 1. AZ眼睛模型的定义
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    在FRED中使用0屈光度来创建的,光瞳加在了透镜的前面。材料是创建一个新的材料并选择类型“Model Material”,输入的参数是nd和vd. S^_yiV S  
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    光源 xo3)ds X  
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    多个光源定义来分析该模型的不同特性。图1显示了所以的光源和提示信息告诉您他们可以用来做什么。 78A4n C  
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    图1. 光源和提示信息使用
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    除了“Letter F”之外的所有光源的光线位置设定在了孔径光阑位置处,并增加了pre-propagation distance= -8。尽管光线在光瞳处创建,规定的传输方向相对于光线位置在pre-propagation distance之后。这意味着光束沿着Z轴在眼睛的前面以平行光入射,而不是在光瞳处入射。 iFT3fP'> 5  
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    在往下看是内置的脚本用来修改屈光度,使其为4(250mm),光源“Letter F”在视网膜处生成一个字母为F的图像。绿色的光线聚焦的非常好而红色和蓝色光线有一点的模糊。使用Positions Spot Diagram分析工具来观察最为合适。 c=mFYsSv  
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    图2. 字母F光源的设定方法光 vx,6::%]  
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    图3. 字母F在视网膜上位置点列图
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    视网膜的散射 _$x *CP0(  
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    在散射文件中,有一个名为“Retina surface”的72%的反射型朗伯散射,它为视网膜的散射提供了一个粗略的近似。为了模拟来自视网膜的散射,改变自定义元件“Eye ball” 下的视网膜的表面从“halt all” 到”Allow All”。并使几何中“plane”可追迹。 35\0g&  
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    图4. 视网膜朗伯散射设定
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    注意在视网膜的表面有散射重点采样规格定义,在“Scatter”标签的底部可获取该信息。“toward pupil”指定散射光朝向光瞳,半角度10度。 2 z l  
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    图5. 视网膜重点采样规格设定
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    脚本 7~g0{W>Zm  
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    内置脚本使用对话框显示屈光度和光瞳直径的数值设置。使用FRED Basic脚本创建和使用对话框非常容易。图6显示了如何获取用户自定义对话框,如下图所示: t)ry)[Dxv  
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    图6. 用户对话框的创建与编辑
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    图7. 用户对话框编辑器
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    如果“OK”按钮按下,将会核对对话框下面的代码行,如果点击取消则脚本终止。然后输入的参数赋予变量,如果此处是保留为空白,则使用默认值。因此,如果没有值输入并点击“OK”按钮,则脚本是以屈光度为0,光瞳直径为4mm来运行的。 -M9 4 F  
    余下的脚本计算与屈光度有关的所有参数。 jP]'gQ!-w  
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    分析 g9Ll>d)tE3  
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    屈光度为4,光瞳直径为4mm,字母F点在视网膜上所成的像。 jV8><5C  
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    图7. 字母F在视网膜上颜色分析
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    脚本代码 9dv~WtH>5  
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    Option Explicit     'Remove this to enable non-dimensioned variables to be used. w|ei*L  
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    Dim entity As T_ENTITY 1Sr}2@>  
    Dim op As T_OPERATION n*uZ=M_/Q  
    Dim mat As T_MODELMATERIAL O2B$c\pw  
    Dim A As Double C <)&qx3  
    Dim pupilDiam As Double 1+#8} z:  
    Dim eID As Long z AIC5fvu  
    Dim parID As Long Fx\Re]~n  
    Dim count As Integer {,-#;A*yW  
    Dim taq As Double, Rant As Double, CCant As Double, Rpost As Double, CCpost As Double Plv+mb  
    Dim tlens As Double, nlens As Double )<&QcO_  
    Dim curv As Double, conic As Double u?i1n=Ne  
    Dim ok As Long 4]R3*F  
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    Sub Main vUA,`  
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        '用户输入对话框 c`Cn9bX  
        Begin Dialog UserDialog 320,126,"Input parameters" ' %GRID:10,7,1,1 .j.=|5nVo4  
            TextBox 220,21,40,21,.TextBox1 'default: 0 '{~ ej:  
            Text 20,21,190,21,"Accommodation (in Diopters):",.Text1,1 4 n( f/  
            OKButton 40,91,90,21 ];YOP%2   
            CancelButton 190,91,90,21 jTIn@Q  
            Text 20,49,190,14,"Pupil diameter (4 mm default):",.Text2,1 wOP}SMn  
            TextBox 220,49,40,21,.TextBox2 'default: 4 5{[0Clb)  
        End Dialog l+,rc*-j0  
        Dim dlg As UserDialog b/`' ?| C  
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        ok = Dialog (dlg) M`FL&Ac  
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        If ok=0 Then    'cancel button was pressed .nJGxz+X"  
            Print "Execution cancelled." ,#{aAx|]  
            End NgKNT}JDv  
        End If .#}R$}e+  
    'UKB pm/  
        'Assign accommodation and pupil diameter & use defaults if field left empty a6C ~!{'nW  
        If dlg.TextBox1 = "" Then t/ w>t! q  
            A = 0           'Default accommodation 8?!Vr1x  
        Else P? n`n!qZ  
            A = CDbl(dlg.TextBox1) -q27N^A0  
        End If D]REZuHOI  
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        If dlg.TextBox2 = "" Then ]MyWB<9M  
            pupilDiam = 4   'Default pupil diameter lDzVc`c  
        Else pe8MG(V  
            pupilDiam = CDbl(dlg.TextBox2) z\, w$Ef+  
        End If ]2+(i  
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        Print " " 6IA~bkc}  
        Print "Accommodation = " & A & " Diopters" \} 5\^&}_  
        Print "Pupil Diameter = " & pupilDiam & " mm" @NZ?D0"  
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        ' Calculate new parameters with accommodation (Y86q\DQ?|  
        taq = 0.55 + 2.97 - 0.04*A              'Aqueous thickness #+$z`C`  
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        Rant = 12.0 - 0.4*A                     'Radius of anterior lens tfO _b5g  
        CCant = -7.518749 + 1.285720*A          'Conic constant of anterior lens SrxX-Hir  
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        Rpost = -5.224557 + 0.2*A               'Radius of posterior lens a[!':-R`s  
        CCpost = -1.353971 - 0.431762*A         'Conic constant of posterior lens b1+Nm  
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        tlens = 3.767 + 0.04*A                  'Lens thickness rz(DZV  
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        nlens = 1.42 + 0.00256*A - 0.00022*A^2  'Lens index of refraction #*fB~Os:  
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        'Adjust parameters to account for accommodation 6xwC1V?:0t  
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        '************************************************************************* |jlR] ,  
        'Aqueous thickness (Position of Lens) 0>vm&W<?)  
        '************************************************************************* $%/Zm*H  
        eID = FindFullName( "Geometry.Arizona Eye.Lens" )  )57OZ  
        GetCustomElement eID, entity -<.>jX  
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        parID = FindFullName( "Geometry.Arizona Eye" ) NGNn_1  
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        ' Delete any shift(s) in z 2HUoT\M  
        count = 0 3=z'Ih`  
        While GetOperationCount(eID)>count vg<_U&N=-r  
            GetOperation eID, count, op <=p"c k@  
            If op.Type="ShiftZ" Then ,MdCeA%`  
                DeleteOperation eID,count 3.soCyxmc  
                count=count-1 0=~Ji_5mB  
            End If mR@iGl\\  
            count=count+1 U^.$k-|k  
        Wend QJxcH$  
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        'Set new shift in "p<f#s}  
        op.Type = "ShiftZ" {oO!v}]  
        op.val1 = taq C0e< _6p=  
        op.parent = parID ],#9L   
        AddOperation eID, op Da.vyp  
        Print "Set aqueous humor thickness = " & taq-0.55 FG?B:Zl%T  
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        '************************************************************************* h)sc-e  
        'Radius and conic constant of anterior lens rLp0VKPe  
        '************************************************************************* .iw+ #  
        eID = FindFullName( "Geometry.Arizona Eye.Lens.Anterior" ) ?k/Uw'J4u/  
        GetConic eID, entity, curv, conic } pA0mW9  
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        SetConic eID, entity, 1/Rant, CCant _T H'v:C  
        Print "Set anterior lens radius = " & Rant & " and conic constant = " & CCant iidK}<o  
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        '************************************************************************* pDW .Pav  
        'Radius and conic constant of posterior lens Xod#$'M>  
        '************************************************************************* p=p,sJ/@  
        eID = FindFullName( "Geometry.Arizona Eye.Lens.Posterior" ) H`kfI"u8  
        GetConic eID, entity, curv, conic S);bcowf_  
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        SetConic eID, entity, 1/Rpost, CCpost 6*CvRb&  
        Print "Set posterior lens radius = " & Rpost & " and conic constant = " & CCpost r"^P>8  
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        '************************************************************************* lBl`R|Gt  
        'Lens thickness (Position of posterior lens surface) I/t2c=f  
        '************************************************************************* GDhg VOW(  
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        parID = FindFullName( "Geometry.Arizona Eye.Lens" ) h%Bp%Y9  
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        ' Delete any z-shift(s) 2wikk]Z  
        count = 0 nD|Bo 9  
        While GetOperationCount(eID)>count %-> X$,Q :  
            GetOperation eID, count, op FK>8(M/  
            If op.Type="ShiftZ" Then o[aRG7C  
                DeleteOperation eID,count S9-FKjU  
                count=count-1 8KN0z<  
            End If kowBB0  
            count=count+1 _A1r6  
        Wend bDRl}^aO6  
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        'Set new z-shift W A-\2  
        op.Type = "ShiftZ" rM Un ~  
        op.val1 = tlens iU5M_M$G  
        op.parent = parID (6!W8x7  
        AddOperation eID, op B/AS|i] sM  
        Print "Set lens thickness = " & tlens `|+!H.3  
    -6@#Nq_iWU  
        '************************************************************************* VI/77  
        'Lens index of refraction )$XcO]  
        '************************************************************************* Gg8F>y<[R  
        eID = FindMaterial( "Lens" ) b dP @^Q  
        GetModelMaterial eID, mat "K;f[&xO,o  
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        mat.Nd = nlens 7\HjQ7__  
        SetModelMaterial eID, mat \$$DM"+:;H  
        Print "Set lens index of refraction = " & nlens <>%2HRn<u  
    "MOM@4\  
        '************************************************************************* !E#FzY!}Pl  
        'Pupil diameter @vs+)aRa  
        '************************************************************************* c>mTd{Abi  
        eID = FindFullName( "Geometry.Arizona Eye.Pupil.Iris" ) M8(N9)N  
    }fU"s"  
        'Adjust pupil diameter (trimming volume inner hole) 9bwG3jn4?  
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        SetTrimVolHole eID, pupilDiam/2, pupilDiam/2, 0, 0, "Cylinder" EIug)S~  
    ,%6!8vX  
        ' Adjust pupil location to just in front of the lens $MhfGMk!'  
        parID = FindFullName( "Geometry.Arizona Eye" ) N3"O#C  
        eID = FindFullName( "Geometry.Arizona Eye.Pupil" ) ]O]6O%.ao  
        count = 0 Nz1u:D]  
        While GetOperationCount(eID)>count LYhjI  
            GetOperation eID, count, op ~+ [T{{  
            If op.Type="ShiftZ" Then [&eG>zF"  
                DeleteOperation eID,count /fgy07T  
                count=count-1 yI$KBx/]n  
            End If @^R6}qJ  
            count=count+1 /#TtAkH  
        Wend E&G]R!  
        op.Type = "ShiftZ" "!,)Pv  
        op.val1 = taq-0.01 #l 7(W G  
        op.parent = parID M 5c$  
        AddOperation eID, op mH6\8I  
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        Print "Set pupil diameter = " & pupilDiam 8GlRO4yd  
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        'Update AZ Eye subassembly Description q!f'?yFYK  
        eID = FindFullName( "Geometry.Arizona Eye" ) [$]qJ~kz  
        GetEntity eID, entity B5v5D[ o5  
        entity.Description = "Accommodation = " & A & "D" tw k  
        SetEntity eID, entity \&BT#8ELG  
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        Update 5LaF'>1yY  
        Print "DONE!" [jnA?Ge:  
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    End Sub C :r3z50  
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    如果屈光度是4,光瞳直径是4,则会输出如下数据: <]Btx;}  
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    Accommodation = 4 Diopters d C>[[_  
    Pupil Diameter = 4 mm /`s{!t#Y  
    Set aqueous humor thickness = 2.81 =[do([A  
    Set anterior lens radius = 10.4 and conic constant = -2.375869 Kt3T~k  
    Set posterior lens radius = -4.424557 and conic constant = -3.081019 #u"$\[G  
    Set lens thickness = 3.927 ,Jrm85 oG  
    Set lens index of refraction = 1.42672 xcE2hK/+  
    Set pupil diameter = 4 |Ml~_m  
    DONE! T3bYj|rh=  
     
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